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Some Results on Error Rates for Quadratic Discrimination with Known Population Parameters |
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| Authors: | Dean M Young Danny W Turner Virgil R Marco |
| Institution: | 1. Baylor University, Waco, TX 76798, USA
Dean M. Young, Department of Information Systems Baylor University Waco, TX 76798 USA Danny W. Turner, Department of Mathematics Baylor University Waco, TX 76798 USA Virgil R. Marco, Department of Statistics Oklahoma State University Stillwater, OK 74078 USA;2. Oklahoma State University, Stillwater, OK 74078, USA Dean M. Young, Department of Information Systems Baylor University Waco, TX 76798 USA Danny W. Turner, Department of Mathematics Baylor University Waco, TX 76798 USA Virgil R. Marco, Department of Statistics Oklahoma State University Stillwater, OK 74078 USA |
| Abstract: | Let population Πi, i = 1,2, be characterized by a multivariate normal density function, N(μi,∑i), i = 1, 2, respectively. This paper provides conditions under which simple conditional error rates may be computed for the quadratic discriminant function with known population parameters. Also, a simple bound on the overall error rate is derived. Examples are given which demonstrate the proposed methods. |
| Keywords: | Error rates Singular-value decomposition Dimension reduction |